A 35 kg boy is riding a 65 kg go-cart. He pushes on the gas pedal, causing the cart to accelerate at 5 m/s2. Use the equation F = m × a to find the force exerted by the go-cart’s engine.

Explanation:

The equation for force is given:

First, we must find the total mass, which is the sum of the boy's mass and the go-cart's mass.

The boy's mass is 35 kilograms and the go cart's is 65 kilograms.

Now we know the total mass and the acceleration.

Substitute the values into the formula.

Multiply.

The force exerted by the go cart engine is 500 Newtons.

  the grams     of oxygen gas   that can be produced     is 20.6   grams of o₂

calculation

2liclo₃ →   2 licl + 3 o₂

step 1:   find the moles of liclo₃

moles = mass÷ molar mass

from periodic table the molar mass of liclo₃ =6.9 +35.5   +(16 x3) =90.4 g/mol

moles=38.7 g÷90.4 g/mol=0.4281   moles

step 2:   use the   mole ratio   to calculate the moles of o2

from equation above, liclo₃: o₂   is 2: 3  

therefore the moles of   o₂=0.4281 moles x3/2 =0.6422   moles

step 3: find mass   of o₂

mass= moles x molar mass

from periodic table the   molar mass of   o₂ = 16 x2= 32 g/mol

mass=0.6422   moles   x   32 g/mol = 20.6 grams of o₂

he made 11 calls in one day