A magnetic field is a picture that we use as a tool to describe how the magnetic force is distributed in the space around and within something magnetic.
Answer:
(A) The magnitude of the tension increases to four times its original value, 4F.
Explanation:
When an object moves in circular motion, a centripetal force acts on it . In this scenario the centripetal force acting on the stone is given by .
Where m is the mass of object
v- velocity or speed of the object
r - radius of the circle
Important to note is that the tension is equal to the centripetal force.
Given that initially the string makes one complete revolution per second and then speeds up to make two complete revolutions in a second .It implies that the speed has doubled .
Using our equation :F =
where F is the tension in the string
let the initial speed be =v then after it doubles it becomes 2v
Keeping the radius of the circle unchanged we have :
F=
From the equation it can be seen that the initial Tension has increased by a factor of 4 .
Therefore the magnitude of the tension increases to four times its original value, 4F.
Kinetic Energy = (1/2) (mass) (speed)²
KE = (1/2) (400 kg) (50 m/s)²
KE = (200 kg) (2500 m²/s²)
KE = 500,000 kg-m²/s²
<em>KE = 500,000 Joules</em>
KE = 1/2 Mega-Joule
Answer:
(a) 2.624
(b) 1.334
Explanation:
The given data in the question is:
Mass = 2.95 kg
Spring constant "k" = 820 N/m
Compression of Spring "x" = 0.0800m
Using this data and the equation to find the answer for spring potential energy:
spring potential energy = 1/2 kx²
= 1/2 (820 N/m)(0.0800m)²
= 2.624 Joules
(b) - It is given that the surface is friction-less which means no loss of energy during the motion of spring. This means that all the potential energy possessed by the spring converts to Kinetic Energy of the block. We can equate spring potential energy with Kinetic energy to find the block's speed as below:
Kinetic Energy = 1/2mv² where "m" is mass and "v" is velocity of the object
1/2mv² = spring potential energy (found in part "a" above)
1/2(2.95 kg)v² = 2.624 Joules
v² = (2.624 x 2) / 2.95
v² = 1.779
v = √1.779
v = 1.334 m/s
Red Hyper giants are the largest known stars: VY Canis Majoris is the largest known star in our universe