I own a Honda CBR 125 2007 model and took my exhuast off so its straight pipe I don't take long rides will this actually cause problems?

I own a Honda CBR 125 2007 model and took my exhuast off so its straight pipe I don't take long rides will this actually cause problems? - 1

Motorcycle engines need some back pressure to run properly. Loss of back pressure will result in improper fuel/ air mixture leading to overheating, possibly burning a hole in the piston and destroying the engine. Even slightly modifying the exhaust should be accompanied with a re-jet to the carburetor, or a modified chip for the computer.

When a traffic cop catches you, definitely.

If he doesn't, you'll eventually cause physical damage to the engine (mainly cylinder head and valves, possibly piston and rings) due to running too lean (not enough fuel for the airflow) which raises combustion temperatures significantly - this will be due to the lack of the restricting effect of the exhaust which is part of the overall design of the engine, fuelling system etc. And the damage will be your own stupid fault and very expensive to put right (I assume you won't be capable of the repairs yourself, if you were you'd understand the damage removing the exhaust will do and would have either put it back on or extensively and expensively modified the fuelling system), bike mechanics generally run to £75-100 per hour, taking overheads into account and an engine swap will take 3 - 4 hours PLUS the cost of an engine - budget upwards of £500 for that second-hand, the CBR is a popular bike and parts are always in short supply - a new engine would be about 50 - 75% the showroom price of the bike, and for a 10-year-old bike even a second-hand motor might be more than the running bike is worth.
Put the silencer back on.

Assuming you're in the UK or Europe:
When the traffic cop catches you, you'll probably get a fine and points on your licence and may have to retake any tests if you passed within the last 2 years, if you don't inform your insurers of this any claim you (or someone you injure/cripple/kill, whose car you scrape or dent, etc.) may make will be invalid as it's a condition of your insurance that you inform them of any "accidents, claims or convictions". This would leave *you* liable for paying any damages (anywhere up to £10 million for a serious, life-changing injury, down to about £500 for a scratched bumper on a car).

When you tell the insurer, they'll invalidate the insurance on the day of the offence as you hadn't notified them of a modification to the bike (another condition of the insurance policy) - this will lead to another offence, riding without valid insurance (they're legally required to inform the cops…), much more serious than the Construction & Use offence regarding the exhaust.

So… You'll be banned from driving (the Insurance offence), probably for a year minimum (assuming you're on L-plates or recently passed a test - in which case any tests you've passed will be cancelled and you'll have to start again from the beginning), will find it either impossible or hideously expensive to obtain insurance after the ban expires and won't have a bike (without insurance the road tax is invalid, it'll be seized and destroyed, i.e. Crushed and shredded for scrap metal by the DVLA).
Stick the silencer back on. Riding without it just makes you look like a prat anyway.

Without an exhaust and baffle to cause back pressure, your bike will actually be less efficient and slower. Refit the original silencer and think about buying a larger motorcycle to meet your needs.

Yes. All modern bikes the inlet tract, cylinder head, valve timing exhaust are all optimised for performance, economy & reliability. This includes a certain amount of back pressure from the muffler. Remove this & your performance WILL actually suffer, as will reliability, fuel economy & engine life.
The modern engine is highly developed already - to gain performance at all you need to adjust/change carburation, exhaust, valve timing together & spend time & money altering things one bit at a time on a dyno to check the results.
The best you could probably hope for is about 10% improvement at the very top end of the range at the cost of flexibility over the rest of the rev range. Now think how much of your riding is done at the red line? Is it wortth it?

3 problems
The engine will run poorly and overheat, possibly to the point of the piston melting
The noise will be illegal and the police will get you
The neighbours will get sick of the noise, gang up and beat you with baseball bats.

Put the exhaust back on and don't be a dickh ead

Maybe. A large parent whose 1 year old gets woken up by your obviously modified to be noisy ride may come after you with hockey stick, whup you upside the head with it and make you change diapers on baby before he shoves straight pipe up your assend. Put stock exhaust back on before angry night shift worker takes it and beats you over the head with it. If you've already tossed it- get to small engine supply shop and get a large can for Kohler or Brigges 10 to 16hp engines. Police looking for excuse like noisy motorcycles with straigth pipes- 'no muffler' ticket is probably cause for inspection- and even if no controlled substance or weapons found- a NTA and repair order is good for some money to court.