College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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- A particle of mass m moves along the x axis. Its position varies with time according to x = and t is in seconds. Determine the velocity v(t) of the particle as a function of t. Determine the acceleration a(t) of the particle as a function of t. Determine the power P(t) delivered to the particle as a function of t. Determine the work W done on the particle by the net force from t = 0 tot = t₁ in terms of defined variables and numerical constants. v(t) = a(t): = P(t) = W = 6t³ - 6t2, where x is in metersarrow_forward9. A train glides along the track without the assistance of any motor and with a negligible amount of friction. A work-energy bar chart shows the energy of the train-Earth system at moments one and two. Eki Egl Wext Ek2 Egz 0 y=0 (a) Draw the position of the rollercoaster on the track at moments one and two. Label each moment. (Note, there are many possible answer (b) Explain how you chose the positions at those moments in time by referring to details in the bar chart.arrow_forwardA 5.40-kg block is set into motion up an inclined plane with an initial speed of v; = 8.20 m/s (see figure below). The block comes to rest after traveling d = 3.00 m along the plane, which is inclined at an angle of 0 = 30.0° to the horizontal. (a) For this motion, determine the change in the block's kinetic energy. J (b) For this motion, determine the change in potential energy of the block-Earth system. J (c) Determine the friction force exerted on the block (assumed to be constant). N (d) What is the coefficient of kinetic friction?arrow_forward
- Below is a conservation of energy problem. The solution to this problem is provided. Assess whether the solution provided is correct or incorrect AND EXPLAIN WHY. = 4.6 kg block is at rest against a horizontal spring that is compressed by 0.40 m. The spring has a spring constant of k₁ 2750 N/m. After leaving the spring, it travels up a 28° incline to a height of 2.8 m. At the top of the hill is a second spring with a spring constant of k₂ = 350 N/m. The horizontal portions are frictionless, but the hill has a coefficient of kinetic friction equal to uk = 0.16. The final velocity of the block is 9.78 m/s. How much is the second spring compressed by when the block comes to a stop against it? Simplifies to X₁ = 0.40 m h₁ = 0 m Vi = 0 m/s xf Wnc = 0 J 2 Wnc + mgh₁ +1/2 kx₁² +½ mv² = mgh₁+½ kxf² +½ mvf2 = k₁ = 2750 N/m k₂= 350 N/m m = 4.6 kg 2 ½ k₁x₁² = mghf + ½ K₂Xf2 2 ½ k₁x;² — mghƒ _½ k₂xf² Xf= 2750 N/m 350 N/m (0.4 m)2 x k 2 2gh -X f= X₁ = ? m h₁ = 2.8 m Vi = 0 m/s 0.141 m 2(9.8…arrow_forward4. A 20.0 kg cannonball is fired from a cannon at a speed of 1000 m/s at an angle of 31.0° with the horizontal. A second bullet of the same mass is fired from the same barrel at an angle of 90.0º. Use conservation of mechanical energy to find a) the maximum height reached (For each bullet) b) the total mechanical energy at the maximum height. (For each bullet)arrow_forward6. One end of a light inextensible string is attached to a block. The string is used to pull the block along a horizontal surface with a speed of 2 m s−1. The string makes an angle of 20° with the horizontal and the tension in the string is 25 N. Find the work done by the tension in a period of 8 seconds.arrow_forward
- 1. A grandfather clock is powered by the descent of a 4.35 kg weight.(a) If the weight descends through a distance of 0.760m in 3.25 days, how much power does it deliver to the clock?(b) To increase the power delivered to the clock?(b) To increase the power delivered to the clock, should the time it takes for the mass to descend be increased or decreased? Explain and draws.arrow_forward1. A 23.0 kg child is playing on a swing with a length of 2.5 m. If the swing starts from rest and makes an angle of 40.0◦ with the vertical at the top of the swing, a) determine the child’s speed at the bottom of the swing neglecting friction. b) If the swing has a speed of 2.8 m/s at the bottom, determine the work done by friction during the downswing and, bonus) assuming the force of friction is constant, determine the maximum angle the swing attains on the upswing after passing through the bottom. Hint: Use the approximation that cos θ ≈ 1 − 1 2 θ 2 for angles given in radians.arrow_forward
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