Question

A football coach sits on a sled while two of his players build their strength by dragging the sled across the field with ropes. the friction force on the sled is 1140 n and the angle between the two ropes is 25.0 ∘. how hard must each player pull to drag the coach at a steady 2.30 m/s ?

Answer 1

To calculate the force required for each player to drag the coach at a steady speed, we consider the friction force and the force exerted by each player. By breaking down the force exerted by each player into horizontal and vertical components, we can find the force required to overcome friction and support the weight of the coach.

Step-by-step explanation:

To calculate the force required for each player to drag the coach at a steady speed, we need to consider the forces acting on the sled. One force is the friction force, which we know is 1140 N. The other force is the force exerted by each player. Since the sled is being dragged at an angle of 25°, we can break down the force exerted by each player into horizontal and vertical components.

The horizontal component of the force is responsible for overcoming the friction force, while the vertical component is responsible for supporting the weight of the coach.

To find the horizontal component of the force, we can use trigonometry. The horizontal component can be found by multiplying the force exerted by each player by the cosine of the angle (25°). Since there are two players, the total force can be found by multiplying the horizontal component by 2.

To calculate the force required to drag the coach at a steady speed, we need to set the total force equal to the friction force and solve for the force exerted by each player.

Answer 2

To calculate the force required for each player to drag the coach at a steady speed, we consider the friction force and the force exerted by each player. By breaking down the force exerted by each player into horizontal and vertical components, we can find the force required to overcome friction and support the weight of the coach.

Step-by-step explanation:

To calculate the force required for each player to drag the coach at a steady speed, we need to consider the forces acting on the sled. One force is the friction force, which we know is 1140 N. The other force is the force exerted by each player. Since the sled is being dragged at an angle of 25°, we can break down the force exerted by each player into horizontal and vertical components. The horizontal component of the force is responsible for overcoming the friction force, while the vertical component is responsible for supporting the weight of the coach.

To find the horizontal component of the force, we can use trigonometry. The horizontal component can be found by multiplying the force exerted by each player by the cosine of the angle (25°). Since there are two players, the total force can be found by multiplying the horizontal component by 2. To calculate the force required to drag the coach at a steady speed, we need to set the total force equal to the friction force and solve for the force exerted by each player.