A kangaroo carries her 0.49kg baby in her pouch as she bounds across the ground. As she pushes off the ground, she is accelerating upward at 30 m/s2.

What is the apparent weight of her baby at this instant?

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To find the apparent weight of the baby kangaroo, we need to consider the forces acting on the baby.

The weight of the baby is given by the formula:

Weight = mass * acceleration due to gravity

Given:
Mass of the baby (m) = 0.49 kg
Acceleration due to gravity (g) = 9.8 m/s^2 (approximate value)

Weight of the baby = 0.49 kg * 9.8 m/s^2
Weight of the baby = 4.802 N (approximate value)

However, since the kangaroo is accelerating upward at 30 m/s^2, there will be an additional force acting on the baby in the downward direction due to the acceleration. This is commonly referred to as the "pseudo force" or "fictitious force".

Considering the apparent weight, we can calculate it by taking into account the additional force due to acceleration.

Apparent weight of the baby = Weight of the baby - Pseudo force

Pseudo force = mass of the baby * acceleration
Pseudo force = 0.49 kg * 30 m/s^2
Pseudo force = 14.7 N

Apparent weight of the baby = 4.802 N - 14.7 N
Apparent weight of the baby = -9.898 N (approximate value)

Therefore, the apparent weight of the baby kangaroo at this instant is approximately -9.898 N. Note that the negative sign indicates that the baby kangaroo experiences a net downward force.

To find the apparent weight of the baby, we need to determine the net force acting on it. The apparent weight is the force experienced by an object in a non-inertial reference frame, such as when an object is accelerating.

We can start by calculating the gravitational force on the baby. The force of gravity is given by the formula F = m * g, where F is the force, m is the mass, and g is the acceleration due to gravity.

The mass of the baby is given as 0.49 kg. The acceleration due to gravity on Earth is approximately 9.8 m/s^2. So, the gravitational force on the baby would be:

F_gravity = m * g
= 0.49 kg * 9.8 m/s^2
= 4.802 N

Now, we need to consider the acceleration of the kangaroo. As the kangaroo pushes off the ground and accelerates upward at 30 m/s^2, it generates an upward force on the baby, opposing the force of gravity. This force is known as the normal force.

The normal force equals the sum of the gravitational force and the force required to accelerate the baby upward. The normal force can be calculated using the formula:

F_normal = F_gravity + F_upward

Since the baby is accelerating upward with an acceleration of 30 m/s^2, we can find the force required to accelerate the baby using Newton's second law: F = m * a.

F_upward = m * a
= 0.49 kg * 30 m/s^2
= 14.7 N

Now, we can calculate the apparent weight of the baby by adding the gravitational force and the force required to accelerate it upward:

Apparent weight = F_normal
= F_gravity + F_upward
= 4.802 N + 14.7 N
= 19.502 N

Therefore, the apparent weight of the baby at this instant is 19.502 N.

4.8N