2.1 A crate of mass 2 kg is being pulled to the right across a rough hor surface by a constant force F. for The force F is applied at an angle of 20° to the horizontal, as shown in diagram below. 2.1.1 2.1.2 page.) 2.1.3 214 2 kg A constant frictional force of 3 N acts between the surface and the cra The coefficient of kinetic friction between the crate and the surface is 0,2 Calculate the magnitude of the: Force F F Draw a labelled free-body diagram showing ALL the forces act on the crate. 20 Normal force acting on the crate Acceleration of the crate
2.1 A crate of mass 2 kg is being pulled to the right across a rough hor surface by a constant force F. for The force F is applied at an angle of 20° to the horizontal, as shown in diagram below. 2.1.1 2.1.2 page.) 2.1.3 214 2 kg A constant frictional force of 3 N acts between the surface and the cra The coefficient of kinetic friction between the crate and the surface is 0,2 Calculate the magnitude of the: Force F F Draw a labelled free-body diagram showing ALL the forces act on the crate. 20 Normal force acting on the crate Acceleration of the crate
To calculate the magnitude of the force F, we can use Newton's second law of motion, which states that the net force acting on an object is equal to its mass multiplied by its acceleration.
1. Force F: The force F can be broken down into its horizontal and vertical components. The horizontal component of the force F can be calculated using the formula F_horizontal = F * cos(20°). Since the force is being applied to the right, the horizontal component will be positive.
2. Frictional force: The frictional force can be calculated using the formula f_friction = μ * N, where μ is the coefficient of kinetic friction and N is the normal force. In this case, the frictional force is given as 3 N.
3. Normal force: The normal force is the force exerted by the surface on the crate perpendicular to the surface. In this case, the normal force is equal to the weight of the crate since it is on a horizontal surface. The weight can be calculated as the mass of the crate multiplied by the acceleration due to gravity (9.8 m/s^2).
4. Acceleration of the crate: The net force acting on the crate is the force F_horizontal minus the frictional force. The net force divided by the mass of the crate will give us the acceleration of the crate.
To draw a labeled free-body diagram, we need to include the following forces:
- Force F: labeled as F and shown in the direction of the force at an angle of 20° to the horizontal.
- Weight of the crate: labeled as mg and shown downward.
- Normal force: labeled as N and shown perpendicular to the surface.
- Frictional force: labeled as f_friction and shown opposite to the direction of motion.
Please note that without specific numerical values for the force F, it is not possible to calculate the exact magnitudes of the forces and acceleration. The provided information allows us to set up the equations but requires specific values for the force F to find the solution.
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