HereThe key information here is frictionless inclined planes
with the same vertical height.
Because both are the same height, both masses start with the same
potential energy (well, technically this is incorrect since a
larger mass implies a larger potential, but because of the math
involved, the mass differences won't cause one body or the other to
go faster). It doesn't matter what the incline angle is, because
they're both going to have completely translated all their energy
from potential to kinetic.
Anyway, conservation of energy applies. Therefore, at the bottom
they both have fallen the same height and have the same velocity.
Mass differences will also cancel out.
So answers for a and b questions are 1,2 respectively
General Physics Problem 1: Two masses sit at the top of two frictionless inclined planes that...
Two uniform spheres of identical mass and radius are placed on
inclined planes at the same height h and inclination angle θ. One
plane is rough and causes one sphere to roll down the plane; the
other is frictionless, and so the sphere on it slides down the
incline.
(a) Find the ratio of the kinetic energies of the two spheres at
the bottom of the incline: .
(b) Find the ratio of their speeds at the base of the...
3. Two identical balls leave from the same height at position 1 & 2 with the same speed but at different angles. When two balls come back to the same height again (at position 3), what is NOT the same for both balls? A. Acceleration B. Potential energy C. Kinetic energy D. Momentum 1 2 3 4. Two balls of equal mass are thrown horizontally with the same initial velocity. They hit identical stationary boxes resting on a frictionless horizontal...
Two uniform spheres of identical mass and radius are placed on
inclined planes at the same height h and inclination angle θ. One
plane is rough and causes one sphere to roll down the plane; the
other is frictionless, and so the sphere on it slides down the
incline.
Find the ratio of the kinetic energies of the two spheres at the
bottom of the incline: .
two balls that are set to be collide elastically, give these two balls specific masses and initial velocity. The balls cannot have the same mass, and they must be moving in both the x- and y-directions. These are the data: Mass for ball 1=3kg Mass for ball 2=5kg Initial velocity ball 1=1.50 Initial velocity ball 2=2.0 Use Conservation of Momentum in x and y, as well as Conservation of Energy, to determine the final velocities of the balls after the...
Problem 2: (6 pts) ) Two masses are connected by a string as shown in the figure below. Mass mB = 2.00 kg moves up while mA 12.0 kg moves down a frictionless inclined. The pulley is frictionless and has a mass M-2.00 kg, and a radius R-0.200 m (1= ½ MR) (a) Draw the free body diagram for the masses and pulley separately. (b) Use Newton's Second Law of Motion to find the resulting acceleration (2pts) (2pts) (2pts) of...
Two masses mA = 2 kg and mB = 1 kg are connected by a stnall pulley Mass maks on an inclined plane at angle e-π/4 radians, and mB is allowed to hang freely. (a) Suppose the string has length 10 m. Take a coordinate system in which the pulley is at the origin. What is the potential energy of the system as a function of the height of mass mg? (b) Find the acceleration of mass ma (either using...
i need help with these questions about physics.
Elastic Collision Question 8 A 2 kg ball initially at rest rolls down a 30-degree inclined plane from a height of 4 meters (assume kinetic and rolling friction are negligible). A 2 kg box initially at rest slides down a 30-degree directionless inclined plane from a height of 4 meters. How do the velocities of the ball and the box compare when they both reach the bottom of their respective inclined planes?...
Help with this physics problem thanks!
Part A Two 3.0 kg masses are 3.0 m apart on a frictionless table. Each has 1.0 pC of charge. What is the magnitude of the electric force on one of the masses? Express your answer in newtons
Problem 1 (50 points 2 kg and mg 1 kg are connected by a small pulley. Mass ma is on an inclined plane at angle in which the pulley ls at the origin. What ls the Two masss m4 θ=r/4 radians, and mg is allowed to hang freely (a) Suppose the string has length 10 m. Take a potential energy of the system as a function of the height of mass mg? (b) Find the of which way the masses...
HW 5.5. The drawing shows a top-view of a collision between two balls. Ball A has a mass of 0.03 kg and is moving along the positive c-axis at 5.5 m/s. It makes a collision with ball B, which has a mass of 0.05 kg and is initially at rest. The collision is not head-on. After the collision, the two balls fly apart with the angles shown in the drawing below. + 5.5 m/s At rest a) What are the...