Answer:
26.5 m/s
Explanation:
The tension in the string provides the centripetal force that keeps the toy in circular motion. So we can write:

where:
T is the tension in the spring
m = 0.50 kg is the mass of the toy
r = 1.0 m is the radius of the circle (the length of the string)
v is the speed of the toy
The maximum tension in the string is
T = 350 N
If we substitute this value into the equation, we find the maximum speed that the mass can have before the string breaks:

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Answer:
height from where rock was thrown is 27.916 m
Explanation:
speed = 7.50 m/s
θ = 30°
g= 9.8 m/s²
horizontal distance = 18 m
time require for vertical displacement

t = 2.8 sec
now for calculation of height
s = ut + 0.5 a t²
-h = v sinθ× t + 0.5 ×(-9.8)× (2.8²)
-h = 7.5 sin30°× 2.8 - 0.5 ×(9.8)× (2.8²)
-h = -27.916 m
h= 27.916 m
height from where rock was thrown is 27.916 m
Answer:
The simplified expression is 3.833 x 10⁷ g
Explanation:
Given expression;
3.88 x 10⁷ g - 4.701 x 10⁵ g
The expression above is simplified as follows;
= (3.88 x 100 x 10⁵ )g - ( 4.701 x 10⁵) g
= (388 x 10⁵ )g - ( 4.701 x 10⁵) g
= (388 - 4.701 ) x (10⁵ )g
= 383.299 x 10⁵ g
In standard form, the simplified expression can be expressed as;
= (3.83299 x 100 x 10⁵) g
= 3.83299 x 10⁷ g
= 3.833 x 10⁷ g
Therefore, the simplified expression is 3.833 x 10⁷ g
Answer:
Distance = 40 meters.
Explanation:
Given the following data;
Force = 25N
Time = 10 seconds
Power = 100 Watt
To find the distance;
First of all, we would determine the work done;
Workdone = power * time
Workdone = 100 * 10
Workdone = 1000 Nm
Next, we use the following formula to find the distance;
Workdone = force * distance
1000 = 25 * distance
Distance = 1000/25
Distance = 40 meters.