Answer:
The fastest object is the sphere, so it is the winner
Explanation:
To know which object will arrive faster down, let's look for the velocity of the center of mass of each object. Let's use the concept of mechanical energy
Highest point
Em₀ = U = mg y
Lowest point
= K = + = ½ I w² + ½ m ²
Angular velocity is related to linear velocity.
v = w r
w = v / r
= ½ I ²/r² + ½ m ²
= ½ (I / r² + m) ²
Energy is conserved
Em₀ =
mg y = ½ (I / r² + m) ²
= √2 g y / (I / mr² +1)
With this expression we can know which object arrives as a higher speed, therefore invests less time and is the winner. Let's calculate the speed of the center of mass of each
Ring
I = m r²
= √ (2 g y / (m r² / mr² + 1))
= √ (2gy 1/2)
= (√ 2gy) 0.707
Solid sphere
I = 2/5 m r²
= √ (2gy / (2/5 m r² / mr² + 1)
= √ (2gy / (7/5))
= √ (2gy 5/7)
= (√ 2gy) 0.845
Cylinder
I = ½ m r²
= √ (2gy / ½ mr² / mr² + 1)
= √ (2gy / (3/2))
= √ (2g y 2/3)
= (√ 2gy) 0.816
The fastest object is the sphere, so it is the winner when descending the ramp
Answer:
Explanation:
The electric force between two charged objects is given by:
where:
k is the Coulomb's constant
q1 and q2 are the charges of the two objects
r is their separation
In this problem:
q1 = 2.0 C
q2 = 1.0 C
r = 2 m
So, the electric force is
2 and or 4. 2 would be the most sensible option, however. because it would cut back on her personal carbon footprint
Considering the total body, there are six elements of fitness: aerobic capacity, body structure, body composition, balance, muscular flexibility and strength
F = force applied to hold the weight of the bowling ball = weight of the bowling ball = 75 N
d = distance through which the bowling ball is moved horizontally = 10 meter
θ = angle between the force in vertically upward direction and displacement in horizontal direction = 90
W = work done on the bowling ball
work done on the bowling ball is given as
W = F d Cosθ
inserting the values
W = (75) (10) Cos90
W = (75) (10) (0)
W = 0 J