2 m 4) A projectile is fired at 27.0 m/s in a direction 65° above the horizonal from a rooftop of height 40.0 m. Use energy considerations to find: (a) the speed with which it lands on the ground; (b) the height at which its speed is 15.0 m/s.

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Number 4 part a and b show all work ?
2) A 2.00-kg block slides on a frictionless horizontal surface and is connected on one side to a spring with a
spring constant of 45.0 N/m) as shown the figure. The other side is connected to a 4.00-kg block that hangs
vertically. The system starts from rest with the spring unextended. (a) What is the maximum extension of
the spring? (b) What is the speed of the 4.00-kg block when the extension is 50 cm?
2 kg
wim
4 kg
3) A cart with a mass of 3.20 kg, an initial speed of 5.15 m/s and an initial height of 4.00 m is moving
towards a hill of height 5.00 m, as shown in the figure. On the other side of the hill is a spring with a spring
constant of 125 N/m and a height of 2.00 m. (a) Does the trolley reach the spring? (b) If so, what is the
maximum compression? Ignore frictional losses and the rotational energy of the wheels.
4 m
5 m
2 m
4) A projectile is fired at 27.00 m/s in a direction 65º above the horizonal from a rooftop of height 40.0 m. Use
energy considerations to find: (a) the speed with which it lands on the ground; (b) the height at which its
speed is 15.0 m/s.
5) A 1.95-kg particle is projected with an initial speed of 4.00 m/s along a surface for which Hx = 0.600.
Find the distance it travels given that: (a) the surface is horizontal; (b) the particle moves up a 30° incline;
(c) the particle moves down a 30° incline.
Transcribed Image Text:2) A 2.00-kg block slides on a frictionless horizontal surface and is connected on one side to a spring with a spring constant of 45.0 N/m) as shown the figure. The other side is connected to a 4.00-kg block that hangs vertically. The system starts from rest with the spring unextended. (a) What is the maximum extension of the spring? (b) What is the speed of the 4.00-kg block when the extension is 50 cm? 2 kg wim 4 kg 3) A cart with a mass of 3.20 kg, an initial speed of 5.15 m/s and an initial height of 4.00 m is moving towards a hill of height 5.00 m, as shown in the figure. On the other side of the hill is a spring with a spring constant of 125 N/m and a height of 2.00 m. (a) Does the trolley reach the spring? (b) If so, what is the maximum compression? Ignore frictional losses and the rotational energy of the wheels. 4 m 5 m 2 m 4) A projectile is fired at 27.00 m/s in a direction 65º above the horizonal from a rooftop of height 40.0 m. Use energy considerations to find: (a) the speed with which it lands on the ground; (b) the height at which its speed is 15.0 m/s. 5) A 1.95-kg particle is projected with an initial speed of 4.00 m/s along a surface for which Hx = 0.600. Find the distance it travels given that: (a) the surface is horizontal; (b) the particle moves up a 30° incline; (c) the particle moves down a 30° incline.
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