Given :
The mass of the balloon was 1890 kg and had a volume of 11,430 m3 .
The balloon floats at a constant height of 6.25m above the ground.
To Find :
The density of the hot air in the balloon.
Solution :
We know,
Volume × ( Density of surrounding air - Density of hot air ) = mass
Putting given values in above equation, we get :
Therefore, the density of hot air in the balloon is 1.125 kg m³.
Answer:
The velocity of Dan is 1.13 m/s.
Explanation:
Given that,
Initial velocity of skateboard and Dan = 2.00 m/s
Velocity of skateboard = 7.00 m/s
Mass of Dan m= 40.0 kg
Mass of skateboard M= 7.00 Kg
Suppose How fast is Dan going as his feet hit the ground?
We need to calculate the initial velocity of Dan
Using conservation of momentum
Put the value into the formula
Hence, The velocity of Dan is 1.13 m/s.
Answer:
At 5.38 seconds the ball hits the ground.
Explanation:
It is given that,
The height of the ball after t seconds is given by the formula as :
Where
t is in feet
and height is in feet
When the ball hits the ground, its height is equal to 0. So,
On solving the above equation we get:
t =5.38 seconds
So, at 5.38 seconds the ball hits the ground. Hence, this is the required solution.
Answer:
represent the final velocity
represent the initial velocity
a = g = 9.8 m/s2 represent the gravity the only force acting for both
The vertical component of velocity is the same for both since the only force acting on y is the gravity. And we can assume that the horizontal component is constant without acceleration.
So then we have the initial velocities given in the x axis are (0 for John and 25 m/s for Alice). Then we can conclude that the Alice speed is greater. Since
a) the speed of Alice is larger than that of Tom
Explanation:
For this case we can use the following kinematic equation:
represent the final velocity
represent the initial velocity
a = g = 9.8 m/s2 represent the gravity the only force acting for both
The vertical component of velocity is the same for both since the only force acting on y is the gravity. And we can assume that the horizontal component of velocity is the same for both
So then we have the initial velocities given in the x axis are (0 for John and 25 m/s for Alice). Then we can conclude that the Alice speed is greater. Since
Since the component of y is the sam but the componenet for x is greater for Alice the final speed would be higher for Alice.
So then the best option for this case is:
a) the speed of Alice is larger than that of Tom