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The acceleration of a marble in a certain fluid is proportional to the speed of the...
Q1 Problem 1 20 Points Problem 1. (20 points) A marble rolls around a frictionless, circular...
Q1 Problem 1 20 Points Problem 1. (20 points) A marble rolls around a frictionless, circular loop of radius 30 cm. At the bottom of the loop, the marble's speed is 4m/s. Model the marble as a point particle. (a) (4 points) Calculate the magnitude of the marble's centripetal acceleration and the angular speed of the marble at the bottom of the loop. (b) (6 points) By applying conservation of energy, determine the speed of the marble at the top...
A projectile is fired downward with initial speed v0 in an experimental fluid and experiences an...
A projectile is fired downward with initial speed
v0 in an experimental fluid and experiences an
acceleration a = σ - ηv2,
where σ and η are positive constants and
v is the projectile speed. Determine the distance
y traveled by the projectile when its speed has been
reduced to 0.58v0. Also, determine the terminal
velocity vf of the projectile. Evaluate for
σ = 1.10 m/s2, η = 0.17
m-1, and v0 = 4.8 m/s.
VYUO
5. A chunk of marble is released initial velocity is zero) from the highest point of...
5. A chunk of marble is released initial velocity is zero) from the highest point of the Flatiron building in NYC, which is 93m tall. If gravitational acceleration is a constant of -9.8 meters per seconds squared: a. Find the function, s, that represents the distance of the marble from the ground at time 1. [10] b. How long does it take for the marble to reach the ground? Leave answer as a radical. [5] c. What is its velocity...
An electron has an initial speed of 1.32 × 105 m/s. If it undergoes an acceleration...
An electron has an initial speed of 1.32 × 105 m/s. If it undergoes an acceleration of 1.8 × 1014 m/s 2, how long will it take to reach a speed of 7.76 × 105 m/s? Answer in units of s. How far has it traveled in this time? Answer in units of m.
Two bicycle tires are set rolling with the same initial speed of 4.00 m/s along a...
Two bicycle tires are set rolling with the same initial speed of 4.00 m/s along a long, straight road, and the distance each travels before its speed is reduced by half is measured. One tire is inflated to a pressure of 40 psi and goes a distance of 19.0 m ; the other is at 105 psi and goes a distance of 92.8 m . Assume that the net horizontal force is due to rolling friction only and take the...
Two bicycle tires are set rolling with the same initial speed of 3.10 m/s along a...
Two bicycle tires are set rolling with the same initial speed of 3.10 m/s along a long, straight road, and the distance each travels before its speed is reduced by half is measured. One tire is inflated to a pressure of 40 psi and goes a distance of 19.0 m ; the other is at 105 psi and goes a distance of 92.5 m . Assume that the net horizontal force is due to rolling friction only and take the...
Two bicycle tires are set rolling with the same initial speed of 3.20 m/s along a...
Two bicycle tires are set rolling with the same initial speed of 3.20 m/s along a long, straight road, and the distance each travels before its speed is reduced by half is measured. One tire is inflated to a pressure of 40 psi and goes a distance of 18.3 m ; the other is at 105 psi and goes a distance of 93.1 m . Assume that the net horizontal force is due to rolling friction only and take the...
A fan cart has an initial speed of 20.0 m/s to the right and an acceleration...
A fan cart has an initial speed of 20.0 m/s to the right and an acceleration of 1.0 (m/s)/s to the right. How long does it take for the cart to come to rest?
Show that the expression v = at, where v represents speed, a acceleration, and t an...
Show that the expression v = at, where v represents speed, a acceleration, and t an instant of time, is dimensionally correct. Dimensions and Units of Four Derived Quantities Quantity Area Volume Speed Acceleration Dimensions L2 L3 UT LT2 SI units m2 m m/s m/s2 U.S. customary units ft2 ft/s ft/s2 SOLUTION (Use the following as necessary: L and T.) Identify the dimensions of v from the table above: [v] - Identify the dimensions of a from the table above...
4. A particle is moving along a straight line through a fluid medium such that its speed is measured as v (2t) m/s,...
4. A particle is moving along a straight line through a fluid medium such that its speed is measured as v (2t) m/s, where t is in seconds. If it is released from rest at s 0 determine its positions and acceleration when t 3 s. a) s 2 m, a 9 m/s2 c) S 18 m, a 2 m/s2 d) s 2 m, a 18 m/s2 5. A driver accelerates at a rate of a(S)-0.2 S. If the driver...
Q1 Problem 1 20 Points Problem 1. (20 points) A marble rolls around a frictionless, circular loop of radius 30 cm. At the bottom of the loop, the marble's speed is 4m/s. Model the marble as a point particle. (a) (4 points) Calculate the magnitude of the marble's centripetal acceleration and the angular speed of the marble at the bottom of the loop. (b) (6 points) By applying conservation of energy, determine the speed of the marble at the top...
A projectile is fired downward with initial speed
v0 in an experimental fluid and experiences an
acceleration a = σ - ηv2,
where σ and η are positive constants and
v is the projectile speed. Determine the distance
y traveled by the projectile when its speed has been
reduced to 0.58v0. Also, determine the terminal
velocity vf of the projectile. Evaluate for
σ = 1.10 m/s2, η = 0.17
m-1, and v0 = 4.8 m/s.
VYUO
5. A chunk of marble is released initial velocity is zero) from the highest point of the Flatiron building in NYC, which is 93m tall. If gravitational acceleration is a constant of -9.8 meters per seconds squared: a. Find the function, s, that represents the distance of the marble from the ground at time 1. [10] b. How long does it take for the marble to reach the ground? Leave answer as a radical. [5] c. What is its velocity...
Show that the expression v = at, where v represents speed, a acceleration, and t an instant of time, is dimensionally correct. Dimensions and Units of Four Derived Quantities Quantity Area Volume Speed Acceleration Dimensions L2 L3 UT LT2 SI units m2 m m/s m/s2 U.S. customary units ft2 ft/s ft/s2 SOLUTION (Use the following as necessary: L and T.) Identify the dimensions of v from the table above: [v] - Identify the dimensions of a from the table above...
4. A particle is moving along a straight line through a fluid medium such that its speed is measured as v (2t) m/s, where t is in seconds. If it is released from rest at s 0 determine its positions and acceleration when t 3 s. a) s 2 m, a 9 m/s2 c) S 18 m, a 2 m/s2 d) s 2 m, a 18 m/s2 5. A driver accelerates at a rate of a(S)-0.2 S. If the driver...
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