A 60kg wood carving of a gazelle slides under the action of the force shown. What is the normal force? assumin the gazelle starts from rest, how long will it take to move 3 meters?

To determine the normal force acting on the wood carving, we need to consider the forces acting on it. The normal force is the force exerted by a surface perpendicular to the object. In this case, the normal force will counterbalance the weight of the wood carving.

The weight of the wood carving can be calculated using the formula: Weight = mass × gravity. Given that the mass of the wood carving is 60kg and the acceleration due to gravity is approximately 9.8 m/s², we can calculate the weight as follows:

Weight = 60kg × 9.8 m/s² = 588 N

Therefore, the normal force acting on the wood carving will be 588 N.

To calculate the time it takes for the gazelle to move 3 meters, we need to use the equation of motion:

Distance = Initial Velocity × Time + (1/2) × Acceleration × Time²

Given that the gazelle starts from rest (initial velocity = 0) and the distance is 3 meters, we can rearrange the equation as follows:

3m = (1/2) × Acceleration × Time²

Acceleration is caused by the unbalanced force acting on the gazelle. Assuming the only horizontal force acting on the gazelle is the force shown in the diagram, we can consider this force as the net horizontal force acting on the gazelle.

Using Newton's second law, Force = mass × acceleration, we can rearrange the equation as follows:

Acceleration = Force / mass

Acceleration = (100N - 588N) / 60kg [Substituting the force acting on the gazelle and the mass]

Acceleration = - 8.13 m/s² [Negative sign indicates the direction of acceleration opposing the applied force]

Now, we can substitute the values of acceleration and distance into the rearranged equation:

3m = (1/2) × (-8.13 m/s²) × Time²

Simplifying the equation:

3m = -4.06 m/s² × Time²

Time² = 3m / -4.06 m/s²

Time² = -0.738 s² [Note that the square of time cannot be negative, so the negative sign indicates an error in the calculation]

Therefore, there seems to be an error in the calculations or the given data. Please double-check the values and equations used to ensure accurate results.