A block is placed on a slope at an angle of θ = 32 Complete Solution All Correct

Question: #725

1) A block is placed on a slope at an angle of θ = 32.4o as shown in the diagram (the diagram is not to scale).
The height of the inclined plane is h = 1.060 m. The block has a mass of m = 1.43 kg.

Neglecting friction, what is the speed of the block at the bottom of the slope if it is released from rest at the top of the slope?
v = _______ms-1 at the bottom of the slope
If the coefficient of kinetic friction is μk = 0.111 and the coefficient of static friction is μs = 0.185 what is the speed of the block at the bottom of the slope? Assume it starts from rest at the top of the slope.
_________ ms-1 (enter "0" (a zero) if it stays at the top)
What is the magnitude of the net force on the block halfway down the slope?
_______ N
What is the minimum angle, θ, for which the block will start to move down the slope?
_______°

2)An Olympic pool has dimensions 50.0 m × 25.0 m × 2.68 m (length × width × depth). The density of the pool water is 1007 kgm-3. Atmospheric pressure (1.00 atm) is acting on the surface of the water.
If a child dives down to the bottom of the pool what pressure is exerted on the child?
_______pa

The child now pulls his air filled blow up toy to the bottom of the pool. The toy is compressible and has a volume of 2.19 L on the surface of the pool. What volume does it have on the bottom of the pool? The air around the pool is at thermal equilibrium with the water in the pool.
_______L

3) Two balls collide. The diagram below shows the initial and final velocities of the balls.

In this case:
m1 = 1.97 kg
m2 = 2.78 kg
u1 = 4.20 ms-1
u2 = -2.34 ms-1
v1 = -1.62 ms-1
v2 = ?

What is the initial momentum of the system?
________ kgms-1 (Note: if it is to the left enter a negative answer)
What is the final velocity of ball 2?
__________ ms-1 to the right (enter a negative number if it is to the left)
If the collision lasts for 0.117 s what is the magnitude of the impulse felt by ball 1?
__________ Ns (right is positive, left is negative)
What average force is experienced by ball 1 during the collision?
__________ N (right is positive, left is negative)
Select any of the comments below that are correct (there may be more than one correct answer).
Select one or more:
a. Kinetic energy is not conserved in this collision so this is an inelastic collision.
b. The forces experienced by ball 1 and ball 2 have the same magnitude.
c. Kinetic energy is conserved in this collision so the collision is elastic.
d. Momentum is conserved so this is an elastic collision.
e. Ball 1 and ball 2 experience identical forces.

Solution: #739

A block is placed on a slope at an angle of θ = 32 Complete Solution All Correct

W=m g sin⁡(θ)=(1.43)*(9.8)*sin(32.4)=7.50908 N
fs is less that W, therefore it does not stay at the top.
The acceleration of the block is:
a=g sin⁡(θ)- μ_k g cos⁡(θ)=9.8*sin32.4-0.111*9.8*cos32.4=4.33264 m/s^2
v= √(2 a d)= √(2 a (h/sin⁡(32.4)...