(a) A block with a mass m is pulled along a horizontal surface for a distance x by a constant force F → at an angle θ with respect to the horizontal. The coefficient of kinetic friction between block and table is μ k the force exerted by friction equal to μ k mg ? If not, what is the force exerted by friction? (b) How much work is done by the friction force and by F → ? (Don’t forget the signs.) (c) Identify all the forces that do no work on the block, (d) Let m = 2.00 kg, x = 4.00 m, θ = 37.0°, F = 15.0 N, and μ k = 0.400, and find I the answers to parts (a) and (b). Figure P5.39
(a) A block with a mass m is pulled along a horizontal surface for a distance x by a constant force F → at an angle θ with respect to the horizontal. The coefficient of kinetic friction between block and table is μ k the force exerted by friction equal to μ k mg ? If not, what is the force exerted by friction? (b) How much work is done by the friction force and by F → ? (Don’t forget the signs.) (c) Identify all the forces that do no work on the block, (d) Let m = 2.00 kg, x = 4.00 m, θ = 37.0°, F = 15.0 N, and μ k = 0.400, and find I the answers to parts (a) and (b). Figure P5.39
Solution Summary: The author explains the force exerted by friction and the work done by applied force.
(a) A block with a mass m is pulled along a horizontal surface for a distance x by a constant force
F
→
at an angle θ with respect to the horizontal. The coefficient of kinetic friction between block and table is μk the force exerted by friction equal to μkmg? If not, what is the force exerted by friction? (b) How much work is done by the friction force and by
F
→
? (Don’t forget the signs.) (c) Identify all the forces that do no work on the block, (d) Let m = 2.00 kg, x = 4.00 m, θ = 37.0°, F= 15.0 N, and μk = 0.400, and find I the answers to parts (a) and (b).
Figure P5.39
Definition Definition Force that opposes motion when the surface of one item rubs against the surface of another. The unit of force of friction is same as the unit of force.
Figure 8.14 shows a cube at rest and a small object heading toward it. (a) Describe the directions (angle 1) at which the small object can emerge after colliding elastically with the cube. How does 1 depend on b, the so-called impact parameter? Ignore any effects that might be due to rotation after the collision, and assume that the cube is much more massive than the small object. (b) Answer the same questions if the small object instead collides with a massive sphere.
2. A projectile is shot from a launcher at an angle 0,, with an initial velocity
magnitude vo, from a point even with a tabletop. The projectile hits an apple atop a
child's noggin (see Figure 1). The apple is a height y above the tabletop, and a
horizontal distance x from the launcher. Set this up as a formal problem, and solve
for x. That is, determine an expression for x in terms of only v₁, 0, y and g.
Actually, this is quite a long expression. So, if you want, you can determine an
expression for x in terms of v., 0., and time t, and determine another expression for
timet (in terms of v., 0.,y and g) that you will solve and then substitute the value of
t into the expression for x. Your final equation(s) will be called Equation 3 (and
Equation 4).
Draw a phase portrait for an oscillating, damped spring.
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