while moving out of her dorm room bridget carries a 12kg box to her car, holding in both arms. how much force must be exertrd by each of her arms to supprt the box b) how will this force change if bridget holds the box with only one arm.?
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a) To determine the force exerted by each of Bridget's arms to support the box, we need to consider the weight of the box and the distribution of that weight between the two arms.
Since the box weighs 12 kg, the force of gravity acting on the box is given by the equation F = m * g, where F is the force, m is the mass, and g is the acceleration due to gravity (approximately 9.8 m/s²).
Therefore, the force exerted by each arm can be calculated as follows:
Force exerted by each arm = Weight of the box / Number of arms
= (12 kg * 9.8 m/s²) / 2
= 58.8 N
Therefore, each of Bridget's arms would need to exert approximately 58.8 N of force to support the box.
b) If Bridget holds the box with only one arm, the entire weight of the box will be borne by that single arm. Therefore, the force exerted by her arm will now be equal to the weight of the box.
Thus, if Bridget holds the box with only one arm, the force exerted by that arm will be approximately 12 kg * 9.8 m/s², which is equal to 117.6 N.
To determine the force exerted by each of Bridget's arms, we can start by using the equation:
Force (F) = mass (m) x acceleration due to gravity (g)
Where:
m = 12 kg (mass of the box)
g = 9.8 m/s^2 (acceleration due to gravity)
a) If Bridget holds the box with both arms, we need to divide the total force by the number of arms. Therefore:
Force exerted by each arm = Total Force / Number of Arms
Since Bridget is holding the box with both arms, the Number of Arms = 2.
Hence, Force exerted by each arm when holding the box with both arms = (12 kg x 9.8 m/s^2) / 2 = 58.8 N
Therefore, each of Bridget's arms must exert approximately 58.8 Newtons of force to support the box.
b) If Bridget holds the box with only one arm, she will need to support the entire weight of the box by herself. Hence, the force exerted by that arm will be equal to the total weight of the box:
Force exerted by one arm when holding the box with one arm = 12 kg x 9.8 m/s^2 = 117.6 N
Therefore, if Bridget holds the box with only one arm, she needs to exert approximately 117.6 Newtons of force.