3. An object with mass m₁ = 5.00 kg rests on a frictionless horizontal table and is connected to a cable that passes over a pulley and is then fastened to a hanging object with mass m₂ = 10.0 kg, as shown in Figure below. Find the acceleration of each object and the tension in the cable. 4. Two packing crates of masses 10.0 kg and 5.00 kg are connected by a light string that passes over a frictionless pulley as in Figure P4.26. The 5.00-kg crate lies on a smooth incline of angle 40.0°. Find the acceleration of the 5.00-kg crate and the tension in the string. 10.0 kg 5.00 kg 40.0° 5. The 160-Mg train starts from rest and begins to climb the slope as shown. If the engine exerts a traction force F of 1/8 of the weight of the train, determine the speed of the train when it has traveled up the slope a distance of 1 km. Neglect any resistance. 6. The force exerted by the wind on the sails of a sailboat is 390 N north. The water exerts a force of 180 N east. If the boat (including its crew) has a mass of 270 kg, what are the magnitude and direction of its acceleration? 7. The parachute on a race car of weight 8 820 N opens at the end of a quarter-mile run when the car is traveling at 35 m/s. What total retarding force must be supplied by the parachute to stop the car in a distance of 1 000 m?

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4G
Tutorial 4 dynamics M2020 (1).d... E) >
30°
3. An object with mass m₁ = 5.00 kg rests on a frictionless
horizontal table and is connected to a cable that passes over a
pulley and is then fastened to a hanging object with mass m₂
= 10.0 kg, as shown in Figure below. Find the acceleration of
each object and the tension in the cable.
M₂
10.0 kg
٦:١٢
4. Two packing crates of masses 10.0 kg and 5.00 kg are
connected by a light string that passes over a frictionless
pulley as in Figure P4.26. The 5.00-kg crate lies on a smooth
incline of angle 40.0°. Find the acceleration of the 5.00-kg
crate and the tension in the string.
5.00 kg
40.0⁰
5. The 160-Mg train starts from rest and begins to climb the
slope as shown. If the engine exerts a traction force F of 1/8
of the weight of the train, determine the speed of the train
when it has traveled up the slope a distance of 1 km. Neglect
any resistance.
6. The force exerted by the wind on the sails of a sailboat is 390
N north. The water exerts a force of 180 N east. If the boat
(including its crew) has a mass of 270 kg, what are the
magnitude and direction of its acceleration?
7. The parachute on a race car of weight 8 820 N opens at the
end of a quarter-mile run when the car is traveling at 35 m/s.
What total retarding force must be supplied by the parachute
to stop the car in a distance of 1 000 m?
Transcribed Image Text:4G Tutorial 4 dynamics M2020 (1).d... E) > 30° 3. An object with mass m₁ = 5.00 kg rests on a frictionless horizontal table and is connected to a cable that passes over a pulley and is then fastened to a hanging object with mass m₂ = 10.0 kg, as shown in Figure below. Find the acceleration of each object and the tension in the cable. M₂ 10.0 kg ٦:١٢ 4. Two packing crates of masses 10.0 kg and 5.00 kg are connected by a light string that passes over a frictionless pulley as in Figure P4.26. The 5.00-kg crate lies on a smooth incline of angle 40.0°. Find the acceleration of the 5.00-kg crate and the tension in the string. 5.00 kg 40.0⁰ 5. The 160-Mg train starts from rest and begins to climb the slope as shown. If the engine exerts a traction force F of 1/8 of the weight of the train, determine the speed of the train when it has traveled up the slope a distance of 1 km. Neglect any resistance. 6. The force exerted by the wind on the sails of a sailboat is 390 N north. The water exerts a force of 180 N east. If the boat (including its crew) has a mass of 270 kg, what are the magnitude and direction of its acceleration? 7. The parachute on a race car of weight 8 820 N opens at the end of a quarter-mile run when the car is traveling at 35 m/s. What total retarding force must be supplied by the parachute to stop the car in a distance of 1 000 m?
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