Answer:
A) 6.5 m/s²
Explanation:
Mass of the bucket, m = 3.0 kg
depth of the well, d = 10 m
tension on the rope, T = 9.8 N
The net downward force on the bucket is given as;
T = mg - ma
where;
a is downward acceleration of the bucket
9.8 = (3 x 9.8) - 3a
9.8 = 29.4 - 3a
3a = 29.4 - 9.8
3a = 19.6
a = 19.6 / 3
a = 6.53 m/s² downwards
Therefore, the acceleration of the bucket is 6.53 m/s² downwards
Answer:
The wavelength of light is 
Explanation:
Given that,
Angle = 13.1°
Number of slits = 5000
We need to calculate the wavelength of light
Diffraction of first order is defined as,
.....(I)
The separation of the slits



Now put the value in equation (I)

Here, n = 1

Hence, The wavelength of light is 
Answer:
7229 N
Explanation:
The gravitational force between the Death Star and the Millenium Falcon is given by:

where
is the gravitational constant
is the mass of the Death Star
is the mass of the Millennium Falcon
is the radius of the Death Star
Substituting numbers into the equation, we find the force

Answer:
Total impulse =
= Initial momentum of the car
Explanation:
Let the mass of the car be 'm' kg moving with a velocity 'v' m/s.
The final velocity of the car is 0 m/s as it is brought to rest.
Impulse is equal to the product of constant force applied to an object for a very small interval. Impulse is also calculated as the total change in the linear momentum of an object during the given time interval.
The magnitude of impulse is the absolute value of the change in momentum.

Momentum of an object is equal to the product of its mass and velocity.
So, the initial momentum of the car is given as:

The final momentum of the car is given as:

Therefore, the impulse is given as:

Hence, the magnitude of the impulse applied to the car to bring it to rest is equal to the initial momentum of the car.