Answer:
H = 6.93 m
Explanation:
given data
velocity v = 35 m/s
horizontal component Vx = 33 m/s
solution
we get here maximum height so first we get vertical component here that is express as
Vy = .........................1
put here value
Vy =
Vy = 11.66 m/s
and
now we get height
H = .............................2
put here value
H =
H = 6.93 m
The spring will come to rest 4.9 m below the natural length
Explanation:
The mass-spring system will come to rest when the restoring force on the spring (pulling upward) balances the weight of the mass (pulling downward). Mathematically, this can be written as
where
k is the spring constant
x is the elongation of the spring
m is the mass
g is the acceleration of gravity
In this problem, we have:
is the mass
is the acceleration of gravity
is the spring constant
Solving the equation for x,
Therefore, the spring will come to rest 4.9 m below the natural length.
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Answer:
If you have 8 Joules of energy that means you have 1.912 calories.
Explanation:
As we know that one calorie is equal to 4.184 J. We need to calculate in 8 Joules of energy how many calories are present.
We know that,
For 1 calorie = 4.184 J
For ? = 8 Joules
To obtain calories in 8 Joules. Divide 8 by 4.184.
calorie=1.912
Therefore, 8 J = 1.912 calorie.