A dolphin experiences a force of 320 N [up]

when it jumps out of the water. The
acceleration of the dolphin is 2.6 m/s
2
[up].
(a) Calculate the mass of the dolphin.
(b) What would be the acceleration of the
dolphin if it had the same strength but half
the mass

To calculate the mass of the dolphin, we can use Newton's second law of motion, which states that force (F) is equal to mass (m) multiplied by acceleration (a):

F = m * a

In this case, the force experienced by the dolphin is given as 320 N and the acceleration is given as 2.6 m/s^2. Rearranging the formula, we have:

m = F / a

Plugging in the values, we get:

m = 320 N / 2.6 m/s^2

m ≈ 123.08 kg

Therefore, the mass of the dolphin is approximately 123.08 kg.

Now, to calculate the acceleration of the dolphin if it had half the mass but the same force, we can again use Newton's second law of motion:

F = m * a

This time, the force remains the same at 320 N, but the mass is halved. Let's call the new mass m'.

m' = m / 2

Plugging in the value of m from the previous calculation, we get:

m' = 123.08 kg / 2

m' ≈ 61.54 kg

Now we can rearrange the formula to determine the new acceleration (a'):

a' = F / m'

Plugging in the values, we get:

a' = 320 N / 61.54 kg

a' ≈ 5.2 m/s^2

Therefore, if the dolphin had the same strength but half the mass, its acceleration would be approximately 5.2 m/s^2.

utututu

f=ma solve for a