Answer:
1) The force Christian can exert on his bicycle before picking up the the cargo is 529.74 N
2) The force Christian can exert on his bicycle after picking up the the cargo is 647.46 N
Therefore, Christian has to exert more force on his bike after picking up the cargo
Explanation:
The given parameters are;
The mass of Christian and his bicycle = 54 kg
The mass of the cargo = 12 kg
1) The force Christian can exert on his bicycle before picking up the the cargo = Mass of Christian and his bicycle × Acceleration due to gravity
∴ The force Christian can exert on his bicycle before picking up the the cargo = 54 kg × 9.81 m/s² = 529.74 N
2) The force Christian can exert on his bicycle after picking up the the cargo = (54 + 12) kg × 9.81 m/s² = 647.46 N
Therefore, Christian has to exert more force on his bike after picking up the cargo.
-545 L
-672 L
-5450 L
According to the Charle's law, the new volume of gas is -545 L when the pressure is constant.
Charles law is an experimental gas law which provides description about the behavior of gases which tend to expand on heating.It states that, at constant pressure, the temperature is in direct proportion with the volume that is,V∝T or V₁/T₁=V₂/T₂.The relation between volume and temperature is linear as the temperature increases volume also increases.
The graph of volume versus temperature is a straight line passing through the origin.It was formulated in the year 1780 by scientist Jacques Charles.
The new volume of gas is obtained by substituting values in the formula V₂=605×(-270)/300=-545 L.
Thus, the new volume of gas is -545 L.
Learn more about Charle's law,here:
#SPJ2
Answer:
the total distance that dally traveled is 20 km
Explanation:
given information:
the distance of sally's house and the mall is 10 km
she drives half a way to the mall and the goes back to the house to pick up the purse. So,
the distance of half way to the mall = 1/2 x 10 km = 5 km
the distance of half way to the house = half way to the mall = 5 km
the total distance from half way to the mall and return to the house (a)
a = 5 km + 5 km = 10 km
then, she drive directly to the mall, the distance (b), b = 10 km
the total distance that dally traveled (x)
x = a + b
= 10 km + 10 km
= 20 km
When the cart arrives at any place that's 1.0 meter higher than where it started, its potential energy will be
(9.8) · (its mass on kilograms) Joules .
Potential Energy is given by the formula mass x gravity x height. The starting height is irrelevant in its calculation. The potential energy depends on the mass of the object, gravity and the elevated height.
The potential energy of an object is calculated by the formula Potential Energy = mass x gravity x height. Whenever the height of an object increases, its potential energy will increase as well provided mass and the gravitational field (g) remain constant. Here, the starting height being 0.0 m is irrelevant to the calculation of potential energy at 1.0 m height. If the mass of the cart and the value of gravity (usually taken as 9.8 m/s2 on Earth's surface) are known, you can substitute those values into the formula to find the potential energy.
e.g. If the mass of the cart was 2 kg, the potential energy at a height of 1.0 m would be 2 kg x 9.8 m/s
2
x 1.0 m = 19.6 joules.
#SPJ3
Answer:
26.82m/s
Explanation:
Given
Mass = m= 0.4kg
Initial Velocity = u = 0
Charge = 4.0E-5C
Distance= d = 0.5m
Object Charge = 2E-4C
First, we'll calculate the initial energy (E)
E = Potential Energy
PE = kQq / d
Where k = coulomb constant = 8.99E9Nm²/C²
Energy is then calculated by;
PE = 8.99E9 * 4E-5 * 2E-4 / 0.5
PE = 143.84J
Energy = Potential Energy = Kinetic Energy
K.E = ½mv² = 143.84J
½mv² = ½ * 0.40 * v² = 143.85
0.2v² = 143.85
v² = 143.85/0.2
v² = 719.25
v = √719.25
v = 26.81883666380777
v = 26.82m/s
Hence, the object is 26.82m/s fast when the cart moving is very far (infinity) from the fixed charge