A brick of mass m initially traveling at speed vo slows to a stop while sliding along a rough horizontal surface. m=7.5 kg, vo=25 m/s a. What is the work done by the frictional force in stopping the brick? b.If the brick slides for 33 m before coming to rest, find μk, the coefficient of kinetic friction between the brick and the surface. 2. A variable force acts on a mass of 1.2 kg as it moves in one dimension along the x-axis. The force is position-dependent and is given by the equation: F(x) = (5 N/m) x + 3 N. Assume there are no other forces acting on the mass. a. How much work is done by this force in moving the mass from x = 1 m to x = 4 m? b. If the kinetic energy of the mass is 50 J at x = 1 m, what is the kinetic energy of the mass when it reaches x = 4 m? c. What is the velocity of the mass when it reaches x = 4 m? 3. A block of mass m is placed (at rest) against a locked, compressed spring as shown.
1.A brick of mass m initially traveling at speed vo slows to a stop while sliding along a rough horizontal surface. m=7.5 kg, vo=25 m/s
a. What is the work done by the frictional force in stopping the brick?
b.If the brick slides for 33 m before coming to rest, find μk, the coefficient of kinetic friction between the brick and the surface.
2. A variable force acts on a mass of 1.2 kg as it moves in one dimension along the x-axis. The force is position-dependent and is given by the equation:
F(x) = (5 N/m) x + 3 N.
Assume there are no other forces acting on the mass.
a. How much work is done by this force in moving the mass from x = 1 m to x = 4 m?
b. If the kinetic energy of the mass is 50 J at x = 1 m, what is the kinetic energy of the mass when it reaches x = 4 m?
c. What is the velocity of the mass when it reaches x = 4 m?
3. A block of mass m is placed (at rest) against a locked, compressed spring as shown. The spring has been compressed a distance x from its equilibrium length. The spring constant is k. The spring lock is then released and propels the block up the incline. How far up the incline will the block move when the spring lock is released? Assume there is no friction in the problem.
m=0.75 kg
x=0.04 m
k=80000 N/m
θ=24°
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