A dog chasing a cat has 0.55 times the kinetic energy of the cat, which has 0.45 times the weight of the dog. The dog speeds up by 0.91 m/s and then has the same kinetic energy as the cat. What was the original difference in speed of the dog and cat? In other words, what is v_sub_cat - v_sub_dog initially (before the dog speeds up)?

The difference in speed of the dog and cat is 2.65 m/s

Explanation:

Given that,

Mass of cat = 0.45 times the mass of dog

K.E of dog = 0.55 times K.E of cat

We need to calculate the velocity of dog

Using given data

....(I)

The dog speeds up by 0.91 m/s and then has the same kinetic energy as the cat.

We need to calculate the velocity of dog

Using conservation of kinetic energy,

...(II)

From equation (I) and (II)

Put the value in equation (I)

We need to calculate the difference in speed of the dog and cat

Using speed of dog and cat

Hence, The difference in speed of the dog and cat is 2.65 m/s

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm.   the wire diameter is d = 0.9 mm.   the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a                                          

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2)   in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation:

what is the actual question though?