A ball of mass m = 2.50 kg, starting from rest, falls a vertical distance h...
A ball of mass m = 2.50 kg, starting from rest, falls a vertical
distance h = 55.0 cm before striking a vertically mounted spring,
which is then compressed a distance y = 16.0 cm.
a) Using conservation of energy, derive the algebraic expression
(using symbols) for the spring constant using the provided
information. Clearly indicate your chosen initial and final states
either on the diagram or in words.
b) Determine the spring constant using your algebraic expression
from part (a)
Homework Answers
Add Answer to:
A ball of mass m = 2.50 kg, starting from rest, falls a vertical
distance h...
Ball A (m 0.5 kg, I 0.7 MR2) is held at rest against a spring, compressed by a distance x-40 cm. The ball is released...
Ball A (m 0.5 kg, I 0.7 MR2) is held at rest against a spring, compressed by a distance x-40 cm. The ball is released and move along a frictionless surface (Ho 4 m) until it collides with ball B (m- 0.25 kg, I- 0.5 MR2) which is at rest. After the collision, the two balls roll down a track (which has friction!) and leaves the track at a height, H,- 1m. Ball B goes to a height of HB-5m...
__PRESENT D. A fireman of mass 80 kg is sliding down a firepole starting from rest....
__PRESENT
D. A fireman of mass 80 kg is sliding down a firepole starting from rest. When he reaches the bottom, 4.2 m below his starting point, his speed is 2.2 m/s. How much work is done by friction? E. A 150 g ball rolls at 10 cm/s rightward over a frictionless surface towards a spring 75 cm away, with spring constant 200 N/m. How far does is the spring compressed when the ball is brought to rest? F. A...
f 57 kg starts from rest e at a height of 45 m. h shown in...
f 57 kg starts from rest e at a height of 45 m. h shown in Figure 9. d peak. (4.5) A 58. A ball is attached to a vertical spring with a spring constant of 6.0 N/m. It is held at the equilibrium position of the spring and then released. It falls 0.40 m and then bounces back up again. Calculate the mass of the ball. (4.7) 59. A ball of mass 0.50 kg is attached to a horizontal...
9. A spring-loaded toy gun is used to shoot a ball of mass m-2.50 kg straight...
9. A spring-loaded toy gun is used to shoot a ball of mass m-2.50 kg straight up in the air, as shown below. The spring has spring constant k-500 NI/m. If the spring is compressed a distance of 20.0 centimeters from its equilibrium position y-0 and then released, the ball reaches a maximum height hmax (measured from the equilibrium position of the spring). There is no air resistance, and the ball never touches the inside of the gun. Assume that...
A spring with spring constant 28 N/m is compressed a distance of 7.5 cm by a...
A spring with spring constant 28 N/m is compressed a distance of 7.5 cm by a ball with a mass of 201.5 g (see figure below). The ball is then released and rolls without slipping along a horizontal surface, leaving the spring at point A. The process is repeated, using a block instead, with a mass identical to that of the ball. The block compresses the spring by 7.5 cm and is also released, leaving the spring at point A....
Question JO1 ball of unknown mass m is tossed straight up with initial speed v. At...
Question JO1 ball of unknown mass m is tossed straight up with initial speed v. At the moment it is released, the ball is a heighth above a spring-mounted platform, as shown in the figure. The ball rises, peaks, and falls back toward the platform, ultimately compressing the spring a maximum distance d from its relaxed position. Assume that the spring is perfectly ideal, with spring constant k, and that the mass of the spring and platform is negligible. What...
Block A, having a mass m, is released from rest falls a distance h and strikes...
Block A, having a mass m, is released from rest falls a distance h and strikes the plate B having a mass 2m. If the coefficient of restitution between A and B is e, determine the velocity of the plate just after collision. The spring has a stiffness k.
2. Starting from rest, a block of mass m slides down a frictionless incline at angle...
2. Starting from rest, a block of mass m slides down a frictionless incline at angle θ(0◦ < θ < 90◦) where it runs into a spring of spring constant k. When the block momentarily stops, it has compressed the spring by distance x. Find expressions for (a) the distance the block slides down the incline from when it is released to when it momentarily stops (b) the distance between the point of the first block-spring contact and the point...
Question 5 In the figure, a block of mass m = 3.50 kg slides from rest...
Question 5 In the figure, a block of mass m = 3.50 kg slides from rest a distance d down a frictionless incline at angle 9 = 27.0° where it runs into a spring of spring constant 470 N/m. When the block momentarily stops, it has compressed the spring by 20.0 cm. What are (a) distance d and (b) the distance between the point of the first block-spring contact and the point where the block's speed is greatest? A (a)...
A 63-kg mountain climber, starting from rest, climbs a vertical distance of 705 m. At the...
A 63-kg mountain climber, starting from rest, climbs a vertical distance of 705 m. At the top, she is again at rest. In the process, her body generates 4.5 × 106 J of energy via metabolic processes. In fact, her body acts like a heat engine, the efficiency of which is given by Equation 15.11 as e = |W|/|QH|, where |W| is the magnitude of the work she does and |QH| is the magnitude of the input heat. Find her...
Ball A (m 0.5 kg, I 0.7 MR2) is held at rest against a spring, compressed by a distance x-40 cm. The ball is released and move along a frictionless surface (Ho 4 m) until it collides with ball B (m- 0.25 kg, I- 0.5 MR2) which is at rest. After the collision, the two balls roll down a track (which has friction!) and leaves the track at a height, H,- 1m. Ball B goes to a height of HB-5m...
__PRESENT
D. A fireman of mass 80 kg is sliding down a firepole starting from rest. When he reaches the bottom, 4.2 m below his starting point, his speed is 2.2 m/s. How much work is done by friction? E. A 150 g ball rolls at 10 cm/s rightward over a frictionless surface towards a spring 75 cm away, with spring constant 200 N/m. How far does is the spring compressed when the ball is brought to rest? F. A...
f 57 kg starts from rest e at a height of 45 m. h shown in Figure 9. d peak. (4.5) A 58. A ball is attached to a vertical spring with a spring constant of 6.0 N/m. It is held at the equilibrium position of the spring and then released. It falls 0.40 m and then bounces back up again. Calculate the mass of the ball. (4.7) 59. A ball of mass 0.50 kg is attached to a horizontal...
9. A spring-loaded toy gun is used to shoot a ball of mass m-2.50 kg straight up in the air, as shown below. The spring has spring constant k-500 NI/m. If the spring is compressed a distance of 20.0 centimeters from its equilibrium position y-0 and then released, the ball reaches a maximum height hmax (measured from the equilibrium position of the spring). There is no air resistance, and the ball never touches the inside of the gun. Assume that...
A spring with spring constant 28 N/m is compressed a distance of 7.5 cm by a ball with a mass of 201.5 g (see figure below). The ball is then released and rolls without slipping along a horizontal surface, leaving the spring at point A. The process is repeated, using a block instead, with a mass identical to that of the ball. The block compresses the spring by 7.5 cm and is also released, leaving the spring at point A....
Question JO1 ball of unknown mass m is tossed straight up with initial speed v. At the moment it is released, the ball is a heighth above a spring-mounted platform, as shown in the figure. The ball rises, peaks, and falls back toward the platform, ultimately compressing the spring a maximum distance d from its relaxed position. Assume that the spring is perfectly ideal, with spring constant k, and that the mass of the spring and platform is negligible. What...
Question 5 In the figure, a block of mass m = 3.50 kg slides from rest a distance d down a frictionless incline at angle 9 = 27.0° where it runs into a spring of spring constant 470 N/m. When the block momentarily stops, it has compressed the spring by 20.0 cm. What are (a) distance d and (b) the distance between the point of the first block-spring contact and the point where the block's speed is greatest? A (a)...
Most questions answered within 3 hours.
-
Eagle Industries feels that a lockbox system can shorten its
accounts receivable collection period by 2...
asked 11 minutes ago -
A block measures 5.5 cm on each side. What is the volume of the
block in...
asked 10 minutes ago -
what are the differences between these?
a. shear force.
b. shear stress.
c. Bending Moment.
d....
asked 20 minutes ago -
The proportion of adult women in a certain geographical region
is approximately 51%. A marketing survey...
asked 27 minutes ago -
I am trying to answer a question that is asking why there was no
evidence of...
asked 38 minutes ago -
Power elecrtonics: buck converter?
Calculate and plot (via excel/MATLAB) the average V(out) of a
buck converter...
asked 39 minutes ago -
PLEASE USE PYTHON
training error should strictly decrease as the degree of the
hypothesis polynomials increases....
asked 44 minutes ago -
Using the Table and data below, create a procedure that accepts
product ID as a parameter...
asked 45 minutes ago -
Suppose X follows an exponential distribution with mean 7.5.
Determine the conditional probability P(x > 2.5...
asked 1 hour ago -
Young softball batters are often instructed to “choke-up on the
bat” by their coach. In terms...
asked 1 hour ago -
Suppose that you are an official with Mexico's economic
development agency. Write a one-page memo detailing...
asked 1 hour ago -
If you were an international firm, why would you support the
concept of global free trade?...
asked 1 hour ago